Answer:
If you are trying to simplify this, the answer would be: 
Hope this helps! If not, feel free to comment below and I'll see what else I can do to help. Thanks and good luck!
Answer: 16384
Step-by-step explanation:
Given, Total jars = 4
Total marbles = 7
Since we need to put marbles in 4 different jars, we need to choose a jar each time.
Possible choices for jars =4
Number of time we need to choose = number of marbles
So, by fundamental counting principle, we have
Total ways to put 7 marbles in 4 jars = 

Hence, the required number of ways =16384
- Please find the picture for your triangle.
- We know, area of a ∆ = <u>1/2 × base × height</u>
- Here, base = ( 1 + 7 ) units = <u>8 units</u>
- Height = ( 7 - 1 ) units = <u>6 units</u>
- Therefore, area of the ∆
- = <u>(1/2 × 8 × 6) square units</u>
- = <u>24 square units.</u>
<u>Answer</u><u>:</u>
<em><u>2</u><u>4</u><u> </u><u>square </u></em><em><u>units</u></em>
Hope you can get an idea from it.
Carry on learning.
Doubt clarification - use comment section.
Answer: the rate of the passenger train is 100 mph.
Step-by-step explanation:
Let x represent the rate of the passenger train.
The rate of the freight train was 10 miles per hour slower than the rate of the passenger train. It means that the rate of the freight train is (x - 10) mph
The passenger train traveled 100 miles. It means that the time it took travel 100 miles is
100/x
In the same amount of time, it took a freight train to travel 90 miles. It means that the time it took travel 90 miles is
90/(x - 10)
Since the time is the same, then
100/x = 90/(x - 10)
Cross multiplying, it becomes
100(x - 10) = 90x
100x - 1000 = 90x
100x - 90x = 1000
10x = 1000
x = 100 mph
Answer:
y=3x/2 -8
Step-by-step explanation:
2y/2 = 3x/2 + 10/2
y = 3x/2 +5
(y-(-5)) = 3/2 (x-2)
y+5 = 3x/2 - 3
y= 3x/2 - 8